21 D of the side BC of triangle ABC. Extended to, bisector of LA Lets BC from L Prove it For LABC + ZACD = 2 ZALC

ABC is a right triangle with AB = AC.If bisector of angle A meet BC at D then prove that BC =2 AD .

ABC is a right angled with AB=AC. Bisector of angleA meets BC at D. prove that BC=2AD

ABC is a right triangle with AB = AC .If bisector of angle A meet BC at D then prove that BC = 2 AD .

The side BC of a ABC is produced,such that D is one ray BC. The bisector of /_A meets BC in L as shown in Figure.Prove that /_ABC+/_ACD=2/_ALC

The internal bisector of angle A of Delta ABC meets BC at D and the external bisector of angle A meets BC produced at E. Prove that (BD)/(BE) = (CD)/(CE) .

If D is the mid-point of the side BC of a triangle ABC, prove that vec AB+vec AC=2vec AD .

Perpendicular bisectors of the sides AB and AC of a triangle ABC meet at O. Does the perpendicular bisector of BC pass through O?

Let O be the in-centre of a triangle ABC and D be a point on the side BC of Delta ABC , such that OD_|_BC If angle BOD=15^(@) , then angle ABC=?

Triangles ABC and DBC are two isosceles triangles on the same base BC and their vertices A and D are on the same side of BC. If AD is extended to intersect BC at P, show that: Delta ABP ~= Delta ACP

The perpendicular from A on side BC of a Delta ABC meets BC at D such that DB = 3CD. Prove that 2AB^2 = 2AC^2 + BC^2